Global existence of solutions of a semilinear heat equation with nonlinear memory condition

DOI10.1080/00036811.2019.1584291zbMath1454.35205arXiv1903.11822OpenAlexW2916591946MaRDI QIDQ5140814

Mohammed Guedda, Alexander Gladkov

Publication date: 17 December 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11822

zbMATH Keywords

boundary governed by a nonlinear memory

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Cites Work

• Unnamed Item
• Unnamed Item
• Global solvability for the porous medium equation with boundary flux governed by nonlinear memory
• General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition
• Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
• A differential problem for heat equation with a boundary condition with memory
• Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
• Blow-up for the heat equation with a general memory boundary condition
• A boundary condition with memory in electromagnetism
• Local polynomial estimations of time-varying coefficients for local stationary diffusion models
• A general theory of heat conduction with finite wave speeds
• On proper and entire solutions of a generalized Emden-Fowler equation
• Global existence and blow-up for the fast diffusion equation with a memory boundary condition
• Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition
• Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory
• Global solvability for the heat equation with boundary flux governed by nonlinear memory
• Blow-up rate for the heat equation with a memory boundary condition
• A fast diffusion model with memory at the boundary: global solvability in the critical case

This page was built for publication: Global existence of solutions of a semilinear heat equation with nonlinear memory condition